English

$(D+1)$-Colored Graphs - a Review of Sundry Properties

Combinatorics 2016-08-03 v2 Mathematical Physics math.MP

Abstract

We review the combinatorial, topological, algebraic and metric properties supported by (D+1)(D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting continuum metric space from this set of graphs and detail properties of this limit through the calculation of exponents at criticality.

Keywords

Cite

@article{arxiv.1603.07220,
  title  = {$(D+1)$-Colored Graphs - a Review of Sundry Properties},
  author = {James P. Ryan},
  journal= {arXiv preprint arXiv:1603.07220},
  year   = {2016}
}